A mechanical analog of quantum bradyons and tachyons
- URL: http://arxiv.org/abs/2002.08147v1
- Date: Wed, 19 Feb 2020 12:56:52 GMT
- Title: A mechanical analog of quantum bradyons and tachyons
- Authors: Aurelien Drezet, Pierre Jamet, Donatien Bertschy, Arnaud Ralko, Cedric
Poulain
- Abstract summary: We present an analog of a quantum wave-particle duality: a vibrating string threaded through a freely moving bead or masslet'
For small string amplitudes, the particle movement is governed by a set of non-linear dynamical equations.
Subsonic and supersonic particles can fall into a quantum regime as with the slower-than-light bradyons and hypothetical, faster-than-light tachyons of particle physics.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We present a mechanical analog of a quantum wave-particle duality: a
vibrating string threaded through a freely moving bead or `masslet'. For small
string amplitudes, the particle movement is governed by a set of non-linear
dynamical equations that couple the wave field to the masslet dynamics. Under
specific conditions, the particle achieves a regime of {\it transparency} in
which the field and the particle's dynamics appear decoupled. In that special
case, the particle conserves its momentum and a guiding wave obeying a
Klein-Gordon equation, with real or imaginary mass, emerges. Similar to the
double-solution theory of de Broglie, this guiding wave is locked in phase with
a modulating group-wave co-moving with the particle. Interestingly, both
subsonic and supersonic particles can fall into a quantum regime as with the
slower-than-light bradyons and hypothetical, faster-than-light tachyons of
particle physics.
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